GCD of 836, 360, 94, 382 Calculator

Given Input numbers are 836, 360, 94, 382

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 836, 360, 94, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 360, 94, 382 is 2.

Therefore, GCD of numbers 836, 360, 94, 382 is 2

Given Input Data is 836, 360, 94, 382

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 94 is 2 x 47

Prime Factorization of 382 is 2 x 191

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(836, 360) = 75240

GCD(836, 360) = ( 836 x 360 ) / 75240

GCD(836, 360) = 300960 / 75240

GCD(836, 360) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 836, 360, 94, 382 is 2

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1. What is the GCD of 836, 360, 94, 382?

GCD of 836, 360, 94, 382 is 2

2. Where do I get the detailed procedure to find GCD of 836, 360, 94, 382?

You can find a detailed procedure to find GCD of 836, 360, 94, 382 on our page.

3. How to find GCD of 836, 360, 94, 382 on a calculator?

You can find the GCD of 836, 360, 94, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.